Answer:
- c0 = 8
- c1 = 24
- c2 = 30
- c3 = 42
Step-by-step explanation:
It is convenient to notice that the pattern of coefficients that need to be multiplied and summed is a pattern of Xs.
For the constant, c0, only the constants need to be multiplied.
c0 = 4·2 = 8
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For the x-term coefficient, the constant of one series needs to be multiplied by the x-term of the other, and the two products added.
c1 = 4·5 +2·2
c1 = 24
If you draw real or imagined lines between the coefficients being multiplied, you see that they form an X.
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For the x²-term coefficient, the above X gets wider, and a vertical | is added. That is constant multiplies x² term and x-term multiplies x-term. The sum has three terms:
c2 = 4·3 +2·4 +2·5
c2 = 30
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For the x³ term, there are now two Xs, one wide and one narrower. Constant terms multiply x³ terms and x-terms multiply x² terms.
c3 = 4·3 +2·2 +2·3 +5·4
c3 = 42
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This sort of pattern of Xs can be used wherever polynomials (or multidigit numbers) are multiplied. It can help you ensure that all of the products that need to be included in a sum are accounted for.
Answer: The answer is B, good luck
Complete question :
Tim used the expression below, n³ where n represents side length, to determine the volume of a cube. Using this
expression, what is the volume of a cube with side length 3.5 inches? Show your work.
n?
Answer:
42.875 cubic inches
Step-by-step explanation:
Given that :
The formula to obtain the volume of a cube is n³ ; where n = side length of the cube.
The side length of a certain cube is given as = 3.5 inches.
The volume of the cube is calculated thus :
Volume = n³ = 3.5³
Volume = (3.5 * 3.5 * 3.5) inch³
Volume = 42.875 in³
5050-3030=she needs 2020 markers.
2020/1010=2, so she needs to buy 2 more packs
The answer is D. Because, for every 50 emails dent he received 30 back in response. So, let 5 represent the emails he sent and let 3 represent the emails received... so your answer should be D: 5:3.
I hope this helps!!! Have a good day!!! :D
